EP1832891B1 - Procédé et appareil de transformation d'overbounds - Google Patents

Procédé et appareil de transformation d'overbounds Download PDF

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Publication number
EP1832891B1
EP1832891B1 EP06004754.5A EP06004754A EP1832891B1 EP 1832891 B1 EP1832891 B1 EP 1832891B1 EP 06004754 A EP06004754 A EP 06004754A EP 1832891 B1 EP1832891 B1 EP 1832891B1
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EP
European Patent Office
Prior art keywords
erf
overbounding
errors
galileo
overbounds
Prior art date
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Active
Application number
EP06004754.5A
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German (de)
English (en)
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EP1832891A1 (fr
Inventor
Hans L. Dr. Trautenberg
Harald Dr. Frankenberger
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Airbus DS GmbH
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EADS Astrium GmbH
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Publication date
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Priority to EP06004754.5A priority Critical patent/EP1832891B1/fr
Priority to US11/683,195 priority patent/US8849569B2/en
Publication of EP1832891A1 publication Critical patent/EP1832891A1/fr
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Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/01—Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/13—Receivers
    • G01S19/20—Integrity monitoring, fault detection or fault isolation of space segment
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01S—RADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00—Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/01—Satellite radio beacon positioning systems transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/03—Cooperating elements; Interaction or communication between different cooperating elements or between cooperating elements and receivers
    • G01S19/08—Cooperating elements; Interaction or communication between different cooperating elements or between cooperating elements and receivers providing integrity information, e.g. health of satellites or quality of ephemeris data

Definitions

  • the invention relates to a procedure and an apparatus for transferring a Galileo overbound or an ICAO overbound to a pairwise overbound with excess mass (POEM).
  • GNSS Global Navigation Satellite Systems
  • HMI hazardously misleading information
  • the integrity information sent to the user contains no explicit provisions for protecting against biases. Instead the user are sent protection factors that correspond to zero-mean error distributions.
  • the users combine the received protection factors using their own local knowledge to calculate protection levels that correspond to their position estimate.
  • the broadcast protection factors must be sufficient such that any individual user has only a small probability (e.g. less than a one in ten million), for each approach, that their true position error exceeds the calculated protection level.
  • the ground system for instance must guarantee these protection factors without knowing precisely where the users are, or which satellite they observe.
  • errors in the range domain are transformed into errors in the position domain.
  • the corresponding error statistics probability distribution functions of the errors
  • the Galileo overbounding As defined by the Galileo requirements.
  • Another concept is the paired overbounding with excess mass (POEM).
  • the Galileo overbounding has the disadvantage that it is not preserved during convolution, whereas the POEM is preserved during convolution. That means that the convolution of two excess mass overbounding distributions will overbound the convolution of the two original convolutions.
  • the paired overbounding concept effectively relates range domain and position domain overbounding.
  • This document describes how the Galileo Overbounding definition of a distribution can be used to define parameters for a paired overbounding with excess mass (POEM) of the same distribution. This is necessary as the properties of the Galileo overbounding definition are not preserved during convolutions of distributions, whereas the paired overbounding with excess mass properties are preserved during convolutions of distributions. The convolution is necessary for the transformation from the range domain to the position domain.
  • the probability density p is overbounded by a function q if the equation ⁇ - ⁇ - y p x d x + ⁇ y ⁇ p x d x ⁇ ⁇ - ⁇ - y q x d y + ⁇ y ⁇ q x d x for all y ⁇ 0 holds true.
  • a probability density p is paired overbounded by the functions q L and q R , if the equation ⁇ - ⁇ y q L x d x ⁇ ⁇ - ⁇ y p x d x ⁇ 1 - ⁇ y ⁇ q R x d x for all y holds true.
  • the probability density p is overbounded by a function q if the equations ⁇ - ⁇ - y p x d x ⁇ ⁇ - ⁇ - y q x d y for all y ⁇ 0 ⁇ y ⁇ p x d x ⁇ ⁇ y ⁇ q x d y for all y ⁇ 0 hold true.
  • the ICAO overbounding definition implies directly the Galileo overbounding definition. This can be seen by a simple addition of the defining inequalities. The opposite is not valid in general.
  • ICAO overbounding implies Galileo overbounding. Therefore the method of mapping Galileo overbounding to POEM described in the chapter before is also applicable for ICAO overbounding.
  • a positive function q L is part of POEM if inequality ⁇ - ⁇ y q L x d x ⁇ ⁇ - ⁇ y p x d x is fulfilled for all y .
  • a positive function q R is part of POEM if inequality 1 - K R + ⁇ - ⁇ y q R x d x ⁇ ⁇ - ⁇ y p x d x is fulfilled for all y .
  • the invention further discloses an apparatus that is arranged such that it is capable to execute the methods described above.
  • Such an apparatus could be part of one of the GNSS, e.g. a satellite of the GNSS or some ground systems or the receiver of a user.
  • the invention was described for GNSS and the overbounding concepts Galileo Overbounding, ICAO Overbounding and Paired Overbounding with Excess Mass. However, it is to be understood by those skilled in the art that the invention is neither limited to GNSS nor to Galileo Overbounding, ICAO Overbounding and Paired Overbounding with Excess Mass, respectively.
  • ⁇ f t exp - t 2 ⁇ 0 z ⁇ f + ⁇ 0 ⁇ ⁇ f + erf z ⁇ ⁇ 0 ⁇ ⁇ f ⁇ ⁇ l ⁇ 0 z ⁇ - ⁇ ⁇ f
  • (2) is equivalent to: - ⁇ ⁇ ⁇ z ⁇ f + erf z ⁇ ⁇ 0 ⁇ ⁇ f ⁇ ⁇ ! - ⁇ 0 ⁇ ⁇ - z ⁇ f .
  • ⁇ erf z ⁇ - erf z ⁇ ⁇ 0 ⁇ ⁇ - z ⁇ f ⁇ ⁇ z ⁇ z ⁇ f + erf z ⁇ ⁇ 0 ⁇ ⁇ f .

Landscapes

  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Computer Security & Cryptography (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Position Fixing By Use Of Radio Waves (AREA)

Claims (2)

  1. Procédé pour déterminer des bornes surestimées prudentes dans un système de positionnement par satellites, le procédé comprenant les étapes consistant à :
    - déterminer des bornes surestimées prudentes (qi(x)) d'au moins une erreur (εi) dans un domaine de distances,
    - multiplier séparément les bornes surestimées prudentes (qi(x)) d'erreurs (εi) dans le domaine de distances une fois par une première fonction θ(-x)·2 et une autre fois par une deuxième fonction θ(x)·2, θ(x) étant définie de la façon suivante : θ(x)=1 pour x≥0 et θ(x)=0 pour x<0, dans le but d'obtenir des paires de bornes surestimées prudentes (qiL(x) et (qiR(x)) d'erreurs (εi) dans le domaine de distances,
    - déterminer une borne supérieure pour le risque d'intégrité à la limite d'alerte (pw,int(AL)) dans un domaine de positions à partir de paires de bornes surestimées (qiL(x) et (qiR(x)) d'erreurs (εi) dans le domaine de distances.
  2. Appareil, conçu exécuter un procédé selon la revendication 1.
EP06004754.5A 2006-03-08 2006-03-08 Procédé et appareil de transformation d'overbounds Active EP1832891B1 (fr)

Priority Applications (2)

Application Number Priority Date Filing Date Title
EP06004754.5A EP1832891B1 (fr) 2006-03-08 2006-03-08 Procédé et appareil de transformation d'overbounds
US11/683,195 US8849569B2 (en) 2006-03-08 2007-03-07 Method and apparatus for transforming overbounds

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
EP06004754.5A EP1832891B1 (fr) 2006-03-08 2006-03-08 Procédé et appareil de transformation d'overbounds

Publications (2)

Publication Number Publication Date
EP1832891A1 EP1832891A1 (fr) 2007-09-12
EP1832891B1 true EP1832891B1 (fr) 2013-05-08

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US (1) US8849569B2 (fr)
EP (1) EP1832891B1 (fr)

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8849569B2 (en) 2006-03-08 2014-09-30 Eads Astrium Gmbh Method and apparatus for transforming overbounds

Families Citing this family (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
EP2418513A1 (fr) * 2010-08-10 2012-02-15 Astrium GmbH Calcul des paramètres de précision robustes et améliorés de signaux de satellite d'un système de navigation par satellite global ou régional
EP2461182B1 (fr) * 2010-12-01 2014-06-04 European Space Agency Procédé et appareil permettant de déterminer un paramètre d'indication d'intégrité indiquant l'intégrité des informations de positionnement déterminées dans un système global de positionnement
WO2015131906A1 (fr) * 2014-03-06 2015-09-11 Weibel Scientific A/S Estimation de distance par fréquences multiples

Family Cites Families (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
DE102004059229A1 (de) * 2004-12-08 2006-06-14 Eads Astrium Gmbh Fahrzeug-System sowie ein erdfestes Empfangseinrichtungs-System
EP1832891B1 (fr) 2006-03-08 2013-05-08 EADS Astrium GmbH Procédé et appareil de transformation d'overbounds
US7733268B2 (en) * 2006-05-16 2010-06-08 Andrew Corporation Method and apparatus for determining the geographic location of a device
FR2903499B1 (fr) * 2006-07-05 2008-08-22 Alcatel Sa Dispositif de generation de messages d'integrite signalant des stations de surveillance nominales, degradees ou inactives de systemes de navigation par satellites
US7436354B2 (en) * 2006-09-07 2008-10-14 The Mitre Corporation Methods and systems for mobile navigational applications using global navigation satellite systems
US7847726B2 (en) * 2006-12-22 2010-12-07 Sirf Technology Holdings, Inc. Navigational signal tracking in low power mode
US7928903B2 (en) * 2007-12-07 2011-04-19 Andrew, Llc Method and system for selecting optimal satellites for A-GPS location of handsets in wireless networks
US8094072B2 (en) * 2008-05-05 2012-01-10 Qualcomm Incorporated Adaptive coherent integration time

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8849569B2 (en) 2006-03-08 2014-09-30 Eads Astrium Gmbh Method and apparatus for transforming overbounds

Also Published As

Publication number Publication date
EP1832891A1 (fr) 2007-09-12
US8849569B2 (en) 2014-09-30
US20070222669A1 (en) 2007-09-27

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